The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A264341 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 0,1 or 1,2. 11
 4, 13, 8, 49, 55, 16, 181, 490, 233, 32, 676, 3567, 4900, 987, 64, 2521, 28925, 70669, 49000, 4181, 128, 9409, 223356, 1243225, 1399783, 490000, 17711, 256, 35113, 1759250, 20386617, 53429620, 27726581, 4900000, 75025, 512, 131044, 13750304 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....4......13.........49...........181..............676.................2521 ....8......55........490..........3567............28925...............223356 ...16.....233.......4900.........70669..........1243225.............20386617 ...32.....987......49000.......1399783.........53429620...........1855980772 ...64....4181.....490000......27726581.......2296230561.........168990466353 ..128...17711....4900000.....549201567......98684484373.......15386771913704 ..256...75025...49000000...10878455069....4241136597604.....1400983500645217 ..512..317811..490000000..215477871383..182270189212469...127561175981852920 .1024.1346269.4900000000.4268134837381.7833376999538689.11614593343457551705 LINKS R. H. Hardin, Table of n, a(n) for n = 1..143 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) k=2: a(n) = 4*a(n-1) +a(n-2) k=3: a(n) = 10*a(n-1) k=4: a(n) = 19*a(n-1) +16*a(n-2) k=5: a(n) = 43*a(n-1) -43*a(n-3) +a(n-4) k=6: a(n) = 87*a(n-1) +374*a(n-2) -470*a(n-3) +207*a(n-4) +3*a(n-5) k=7: a(n) = 191*a(n-1) +1102*a(n-2) -7594*a(n-3) -38349*a(n-4) +38507*a(n-5) Empirical for row n: n=1: a(n) = 4*a(n-1) -4*a(n-3) +a(n-4) n=2: [order 14] n=3: [order 34] EXAMPLE Some solutions for n=3 k=4 ..7..8..9..3..4....1..0..3..2..4....7..8..2..3..4....1..2..9..4..3 .12..5..0..1..2...12..6..7..9..8....5..6..0..1..9...12..6..0..7..8 .17.10.13..6.14...11.10..5.14.13...11.10.12.13.14...10.18..5.14.13 .15.16.18.11.19...16.15.17.18.19...15.17.16.18.19...15.17.16.11.19 CROSSREFS Column 1 is A000079(n+1). Column 2 is A033887(n+1). Row 1 is A097948. Sequence in context: A046737 A046738 A095324 * A356799 A144290 A360390 Adjacent sequences: A264338 A264339 A264340 * A264342 A264343 A264344 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 11 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 11 12:20 EDT 2024. Contains 375827 sequences. (Running on oeis4.)